Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

Warm-up

10 minutes

Each day, students complete a warm-up that usually consists of spiraling the previous day's material, in addition to older material. Warm-up problems also sometimes extend lessons that students have encountered before to more unfamiliar contexts.

In today's case, I use Jack and Jill to review applying the concept of systems while simultaneously hitting the idea of constructing functions. I find it's encredibly useful to have kids see real-world applications day after day, consistently, rather than just on one "word problem day." I feel this fluid movement between application and procedural fluency creates the balance called for in the Common Core.

For a video narrative about how I structure each lesson, and how the warm-up fits in, click here.